SOLUTION: small theater has a seating capacity of 2000. When the ticket price is $18, attendance is 1500. For each $1 decrease in price, attendance increases by 100.
(a) Write the revenue
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(a) Write the revenue
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Question 674324: small theater has a seating capacity of 2000. When the ticket price is $18, attendance is 1500. For each $1 decrease in price, attendance increases by 100.
(a) Write the revenue R of the theater as a function of ticket price x. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! small theater has a seating capacity of 2000.
When the ticket price is $18, attendance is 1500.
For each $1 decrease in price, attendance increases by 100.
(a) Write the revenue R of the theater as a function of ticket price x.
:
Let x = the $1 ticket price change, also the number of 100 person increases
:
R(x) = (1500 + 100x)(18 - 1x)
FOIL
R(x) = 27000 + 1800x - 1500x - 100x^2
The equation
R(x) = -100x^2 + 300x + 27000
